Tensor
From QETLAB
MultiKron | |
Kronecker tensor product of two or more matrices | |
Other toolboxes required | none |
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MultiKron is a function that produces the Kronecker product of two or more matrices, and thus extends MATLAB's built-in kron function.
Syntax
- KRN = MultiKron(A)
- KRN = MultiKron(A,M)
- KRN = MultiKron(A,B,C,...)
Argument descriptions
- A: If A is a cell, the KRN is the Kronecker product of all matrices within A.
- M (optional): A scalar indicating how many times A should be tensored with itself (if M is provided, A must be a matrix).
- B,C,... (optional): Matrices. If these are provided, then A must be a matrix, and the output is $A \otimes B \otimes C \otimes \cdots$.
Examples
Multiple copies of Werner states
When investigating the NPPT bound entanglement conjecture, you may want to tensor Werner states with themselves multiple times. The following code tensors a particular Werner state with itself 6 times:
>> rho = WernerState(3,1/2,1); >> rho6 = MultiKron(rho,6);
Note that rho6 is a 531441-by-531441 matrix, so we don't display it here.